Results 51 to 60 of about 159,722 (293)

Machine Learning‐Enhanced Random Matrix Theory Design for Human Immunodeficiency Virus Vaccine Development

open access: yesAdvanced Intelligent Discovery, EarlyView.
This study integrates random matrix theory (RMT) and principal component analysis (PCA) to improve the identification of correlated regions in HIV protein sequences for vaccine design. PCA validation enhances the reliability of RMT‐derived correlations, particularly in small‐sample, high‐dimensional datasets, enabling more accurate detection of ...
Mariyam Siddiqah   +3 more
wiley   +1 more source

On the Solution of the Eigenvalue Assignment Problem for Discrete-Time Systems

open access: yesJournal of Applied Mathematics, 2017
The output feedback eigenvalue assignment problem for discrete-time systems is considered. The problem is formulated first as an unconstrained minimization problem, where a three-term nonlinear conjugate gradient method is proposed to find a local ...
El-Sayed M. E. Mostafa   +2 more
doaj   +1 more source

A Characterization of Some Class Nonlinear Eigenvalue Problem in VELS

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019
Değişken üs Lebesgue uzaylarında lineer olmayan özdeğer problemlerininbazı sınıflarının karakterizasyonunu araştıracağız.
Lütfi Akın
doaj   +1 more source

Pattern selection in the absolutely unstable regime as a nonlinear eigenvalue problem: Taylor vortices in axial flow

open access: yes, 1996
A unique pattern selection in the absolutely unstable regime of a driven, nonlinear, open-flow system is analyzed: The spatiotemporal structures of rotationally symmetric vortices that propagate downstream in the annulus of the rotating Taylor-Couette ...
A. Bers   +92 more
core   +1 more source

A Nonlinear eigenvalue problem with indefinite weights related to the Sobolev trace embedding [PDF]

open access: yes, 2002
In this paper we study the Sobolev trace embedding W1,p([omega]) -->LpV ([delta omega]), where V is an indefinite weight. This embedding leads to a nonlinear eigenvalue problem where the eigenvalue appears at the (nonlinear) boundary condition.
Fernández Bonder, Julián   +1 more
core   +2 more sources

A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws

open access: yesAdvanced Intelligent Discovery, EarlyView.
The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows   +7 more
wiley   +1 more source

Eigenvalue problem for nonlinear elastic beam equation of fractional order

open access: yesNonlinear Analysis, 2017
In this study, under some suitable assumptions, we determine an explicit eigenvalue interval for the existence of positive solution of singular fractional-order nonlinear elastic beam equation with bending term.
Neda Khodabakhshi, S. Mansour Vaezpour
doaj   +1 more source

Neumann and Bargmann systems associated with an extension of the coupled KdV hierarchy

open access: yes, 1998
An eigenvalue problem with a reference function and the corresponding hierarchy of nonlinear evolution equations are proposed. The bi-Hamiltonian structure of the hierarchy is established by using the trace identity.
Cao C.W.   +7 more
core   +1 more source

FEAST eigensolver for nonlinear eigenvalue problems [PDF]

open access: yesJournal of Computational Science, 2018
The linear FEAST algorithm is a method for solving linear eigenvalue problems. It uses complex contour integration to calculate the eigenvectors whose eigenvalues that are located inside some user-defined region in the complex plane. This makes it possible to parallelize the process of solving eigenvalue problems by simply dividing the complex plane ...
Gavin, Brendan   +2 more
openaire   +2 more sources

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

open access: yesAdvanced Intelligent Discovery, EarlyView.
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

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